Martin’s Axiom does not imply perfectly normal non-archimedean spaces are metrizable

DOI10.1090/S0002-9939-00-04940-6zbMath0961.03040OpenAlexW1511502843WikidataQ114009910 ScholiaQ114009910MaRDI QIDQ2701598

Yuan-Qing Qiao

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-04940-6

zbMATH Keywords

boxperfect spaceMartin's axiomdiamondmetrizable spacenon-archimedean spacecombinatorial principlestree basearchvillainforcing special tree

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05) Peculiar topological spaces (54G99)

Related Items (2)

Open problems in topology. ⋮ On a question of Maarten Maurice

Cites Work

• The orderability of nonarchimedean spaces
• Set theory. An introduction to independence proofs
• Some consequences of MA + non wKH
• Proper forcing
• A Note on Small Baire Spaces
• Trees, subtrees and order types
• Perfectly normal non-metrizable non-Archimedean spaces are generalized Souslin lines
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